.\" Copyright (c) 1985 Regents of the University of California.
.\" All rights reserved.  The Berkeley software License Agreement
.\" specifies the terms and conditions for redistribution.
.\"
.\"	@(#)hypot.3m	6.5 (Berkeley) 5/12/86
.\"
.TH HYPOT 3  "May 12, 1986"
.UC 4
.ds up \fIulp\fR
.SH NAME
hypot \- Euclidean distance
.SH SYNOPSIS
.nf
.ft B
#include <math.h>

double hypot(double \fIx\fP, double \fIy\fP)
.ft R
.fi
.SH DESCRIPTION
Hypot(x, y) returns sqrt(x\(**x+y\(**y)
computed in such a way that underflow will not happen, and overflow
occurs only if the final result deserves it.
.PP
hypot(Inf, v) = hypot(v, Inf) = +Inf for all v, 
including NaN.
.SH "ERROR (due to Roundoff, etc.)"
Below 1 \*(ups.  (\*(up = \fIU\fPnits in the \fIL\fPast \fIP\fPlace).
.SH DIAGNOSTICS
hypot(x, y) = Inf if x or y is +Inf or -Inf.
.br
hypot(x, y) = NaN if x or y is NaN (but not \(+-Inf).
.SH SEE ALSO
.BR math (3),
.BR sqrt (3).
.SH AUTHOR
W. Kahan